simplified API + general polishing
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3afb14bea1
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@ -164,7 +164,7 @@ subroutine constitutive_init()
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if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call plastic_phenopowerlaw_init
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if (any(phase_plasticity == PLASTICITY_KINEHARDENING_ID)) call plastic_kinehardening_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call plastic_dislotwin_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init
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if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then
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call plastic_nonlocal_init(FILEUNIT)
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call plastic_nonlocal_stateInit()
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@ -530,8 +530,9 @@ subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, S6, Fi, ipc, ip, e
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call plastic_dislotwin_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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call plastic_disloucla_LpAndItsTangent (Lp,dLp_dMp,Mp, &
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temperature(ho)%p(tme), ipc,ip,el)
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of = phasememberAt(ipc,ip,el)
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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call plastic_disloucla_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
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end select plasticityType
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@ -25,9 +25,6 @@ module plastic_disloUCLA
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integer(pInt), dimension(:), allocatable, private :: &
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plastic_disloUCLA_totalNslip !< total number of active slip systems for each instance
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real(pReal), dimension(:), allocatable, private :: &
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plastic_disloUCLA_Qsd !< activation energy for dislocation climb
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real(pReal), dimension(:,:,:), allocatable, private :: &
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plastic_disloUCLA_forestProjectionEdge !< matrix of forest projections of edge dislocations for each instance
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@ -51,7 +48,8 @@ module plastic_disloUCLA
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grainSize, &
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SolidSolutionStrength, & !< Strength due to elements in solid solution
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mu, &
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D0 !< prefactor for self-diffusion coefficient
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D0, & !< prefactor for self-diffusion coefficient
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Qsd !< activation energy for dislocation climb
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real(pReal), allocatable, dimension(:) :: &
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B, & !< friction coeff. B (kMC)
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rho0, & !< initial edge dislocation density per slip system for each family and instance
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@ -129,7 +127,7 @@ contains
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_disloUCLA_init(fileUnit)
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subroutine plastic_disloUCLA_init()
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#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
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use, intrinsic :: iso_fortran_env, only: &
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compiler_version, &
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@ -140,8 +138,6 @@ subroutine plastic_disloUCLA_init(fileUnit)
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debug_constitutive,&
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debug_levelBasic
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use math, only: &
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math_Mandel3333to66, &
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math_Voigt66to3333, &
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math_mul3x3, &
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math_expand
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use IO, only: &
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@ -155,18 +151,16 @@ subroutine plastic_disloUCLA_init(fileUnit)
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PLASTICITY_DISLOUCLA_ID, &
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material_phase, &
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plasticState, &
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material_allocatePlasticState
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material_allocatePlasticState
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use config, only: &
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MATERIAL_partPhase, &
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config_phase
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use lattice
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implicit none
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integer(pInt), intent(in) :: fileUnit
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integer(pInt) :: maxNinstance,phase,maxTotalNslip,&
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integer(pInt) :: maxNinstance,&
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f,instance,j,k,o, i, &
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outputSize, &
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outputSize, phase, &
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offset_slip, index_myFamily, index_otherFamily, &
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startIndex, endIndex, p
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integer(pInt) :: sizeState, sizeDotState
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@ -197,7 +191,6 @@ material_allocatePlasticState
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allocate(plastic_disloUCLA_totalNslip(maxNinstance), source=0_pInt)
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allocate(plastic_disloUCLA_Qsd(maxNinstance), source=0.0_pReal)
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allocate(param(maxNinstance))
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@ -250,7 +243,6 @@ do p = 1_pInt, size(phase_plasticityInstance)
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prm%omega = config_phase(p)%getFloats('omega')
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prm%B = config_phase(p)%getFloats('friction_coeff')
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!prm%viscosity = config_phase(p)%getFloats('viscosity')
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prm%SolidSolutionStrength = config_phase(p)%getFloat('solidsolutionstrength')
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@ -258,7 +250,7 @@ do p = 1_pInt, size(phase_plasticityInstance)
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prm%grainSize = config_phase(p)%getFloat('grainsize')
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prm%D0 = config_phase(p)%getFloat('d0')
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plastic_disloUCLA_Qsd(phase_plasticityInstance(p)) = config_phase(p)%getFloat('qsd')
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prm%Qsd= config_phase(p)%getFloat('qsd')
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prm%dipoleformation = config_phase(p)%getFloat('dipoleformationfactor') > 0.0_pReal !should be on by default
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@ -296,7 +288,6 @@ do p = 1_pInt, size(phase_plasticityInstance)
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else slipActive
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allocate(prm%rho0(0))
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allocate(prm%rhoDip0(0))
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endif slipActive
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@ -491,26 +482,20 @@ end subroutine plastic_disloUCLA_microstructure
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,ipc,ip,el)
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use material, only: &
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material_phase, &
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phase_plasticityInstance, &
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phaseAt, phasememberAt
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subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,instance,of)
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implicit none
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integer(pInt), intent(in) :: ipc,ip,el
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integer(pInt), intent(in) :: instance, of
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real(pReal), intent(in) :: Temperature
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real(pReal), dimension(3,3), intent(in) :: Mp
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real(pReal), dimension(3,3), intent(out) :: Lp
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real(pReal), dimension(3,3,3,3), intent(out) :: dLp_dMp
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integer(pInt) :: instance,of,i,k,l,m,n
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integer(pInt) :: i,k,l,m,n
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real(pReal), dimension(plastic_disloUCLA_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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real(pReal), dimension(param(instance)%totalNslip) :: &
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gdot_slip_pos,gdot_slip_neg,tau_slip_pos,tau_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg
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of = phasememberAt(ipc,ip,el)
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instance = phase_plasticityInstance(phaseAt(ipc,ip,el))
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associate(prm => param(instance))
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Lp = 0.0_pReal
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@ -525,7 +510,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,ipc,ip,el
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+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
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+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
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enddo slipSystems
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end associate
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end associate
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Lp = 0.5_pReal * Lp
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dLp_dMp = 0.5_pReal * dLp_dMp
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@ -551,7 +536,6 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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temperature !< temperature at integration point
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integer(pInt), intent(in) :: &
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instance, of
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integer(pInt) :: j
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real(pReal) :: &
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VacancyDiffusion
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@ -570,9 +554,9 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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dot%whole(:,of) = 0.0_pReal
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dot%accshear_slip(:,of) = (gdot_slip_pos+gdot_slip_neg)*0.5_pReal
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VacancyDiffusion = prm%D0*exp(-plastic_disloUCLA_Qsd(instance)/(kB*Temperature))
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VacancyDiffusion = prm%D0*exp(-prm%Qsd/(kB*Temperature))
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where(dEq0(tau_slip_pos) .or. (.not. prm%dipoleformation))
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where(dEq0(tau_slip_pos))
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EdgeDipDistance = mse%mfp(:,of) !ToDo MD@FR: correct? was not handled properly before
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DotRhoDipFormation = 0.0_pReal
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DotRhoEdgeDipClimb = 0.0_pReal
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@ -706,7 +690,7 @@ math_mul33xx33
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instance,of
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integer(pInt) :: &
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i,j
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j
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real(pReal) :: StressRatio_p,StressRatio_pminus1,&
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BoltzmannRatio,DotGamma0,stressRatio,&
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dvel_slip, vel_slip
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@ -716,152 +700,153 @@ instance,of
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gdot_slip_pos = 0.0_pReal
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gdot_slip_neg = 0.0_pReal
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dgdot_dtauslip_pos = 0.0_pReal
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dgdot_dtauslip_neg = 0.0_pReal
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do j = 1_pInt, prm%totalNslip
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!* Boltzmann ratio
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BoltzmannRatio = prm%H0kp(j)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = stt%rhoEdge(j,of)*prm%burgers(j)*prm%v0(j)
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!* Resolved shear stress on slip system
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tau_slip_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
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tau_slip_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
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gdot_slip_pos = 0.0_pReal
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gdot_slip_neg = 0.0_pReal
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dgdot_dtauslip_pos = 0.0_pReal
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dgdot_dtauslip_neg = 0.0_pReal
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do j = 1_pInt, prm%totalNslip
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!* Boltzmann ratio
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BoltzmannRatio = prm%H0kp(j)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = stt%rhoEdge(j,of)*prm%burgers(j)*prm%v0(j)
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!* Resolved shear stress on slip system
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tau_slip_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
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tau_slip_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
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significantPositiveTau: if((abs(tau_slip_pos(j))-mse%threshold_stress(j, of)) > tol_math_check) then
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!* Stress ratio
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stressRatio = ((abs(tau_slip_pos(j))-mse%threshold_stress(j, of))/&
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(prm%solidSolutionStrength+&
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prm%tau_Peierls(j)))
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stressRatio_p = stressRatio** prm%p(j)
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stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
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!* Shear rates due to slip
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vel_slip = 2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
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* (tau_slip_pos(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
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/ ( &
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2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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)
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gdot_slip_pos(j) = DotGamma0 * sign(vel_slip,tau_slip_pos(j))
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!* Derivatives of shear rates
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dvel_slip = &
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2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
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* ( &
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(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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+ tau_slip_pos(j) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
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*BoltzmannRatio*prm%p(j)&
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*prm%q(j)/&
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(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
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StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &
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) &
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* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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) &
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- (tau_slip_pos(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
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* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
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*BoltzmannRatio*prm%p(j)&
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*prm%q(j)/&
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(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
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StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )&
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) &
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) &
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/ ( &
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( &
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2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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)**2.0_pReal &
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)
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dgdot_dtauslip_pos(j) = DotGamma0 * dvel_slip
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endif significantPositiveTau
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significantNegativeTau: if((abs(tau_slip_neg(j))-mse%threshold_stress(j, of)) > tol_math_check) then
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!* Stress ratios
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stressRatio = ((abs(tau_slip_neg(j))-mse%threshold_stress(j, of))/&
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(prm%solidSolutionStrength+&
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prm%tau_Peierls(j)))
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stressRatio_p = stressRatio** prm%p(j)
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stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
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!* Shear rates due to slip
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vel_slip = 2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
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* (tau_slip_neg(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
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/ ( &
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2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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)
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significantPositiveTau: if((abs(tau_slip_pos(j))-mse%threshold_stress(j, of)) > tol_math_check) then
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!* Stress ratio
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stressRatio = ((abs(tau_slip_pos(j))-mse%threshold_stress(j, of))/&
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(prm%solidSolutionStrength+&
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prm%tau_Peierls(j)))
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stressRatio_p = stressRatio** prm%p(j)
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stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
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!* Shear rates due to slip
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vel_slip = 2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
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* (tau_slip_pos(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
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/ ( &
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2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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)
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gdot_slip_neg(j) = DotGamma0 * sign(vel_slip,tau_slip_neg(j))
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!* Derivatives of shear rates
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dvel_slip = &
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2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
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* ( &
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(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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+ tau_slip_neg(j) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
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*BoltzmannRatio*prm%p(j)&
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*prm%q(j)/&
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(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
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StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &
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) &
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* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
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+ prm%omega(j) * prm%B(j) &
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*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
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) &
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- (tau_slip_neg(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
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* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
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+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )&
|
||||
) &
|
||||
) &
|
||||
/ ( &
|
||||
( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
gdot_slip_pos(j) = DotGamma0 * sign(vel_slip,tau_slip_pos(j))
|
||||
!* Derivatives of shear rates
|
||||
|
||||
dvel_slip = &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_pos(j) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &
|
||||
) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_pos(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )&
|
||||
) &
|
||||
) &
|
||||
/ ( &
|
||||
( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
||||
dgdot_dtauslip_pos(j) = DotGamma0 * dvel_slip
|
||||
|
||||
endif significantPositiveTau
|
||||
|
||||
|
||||
dgdot_dtauslip_neg(j) = DotGamma0 * dvel_slip
|
||||
endif significantNegativeTau
|
||||
enddo
|
||||
significantNegativeTau: if((abs(tau_slip_neg(j))-mse%threshold_stress(j, of)) > tol_math_check) then
|
||||
!* Stress ratios
|
||||
stressRatio = ((abs(tau_slip_neg(j))-mse%threshold_stress(j, of))/&
|
||||
(prm%solidSolutionStrength+&
|
||||
prm%tau_Peierls(j)))
|
||||
stressRatio_p = stressRatio** prm%p(j)
|
||||
stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
|
||||
!* Shear rates due to slip
|
||||
vel_slip = 2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
/ ( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)
|
||||
|
||||
gdot_slip_neg(j) = DotGamma0 * sign(vel_slip,tau_slip_neg(j))
|
||||
!* Derivatives of shear rates
|
||||
dvel_slip = &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_neg(j) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &
|
||||
) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(prm%solidSolutionStrength+prm%tau_Peierls(j))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )&
|
||||
) &
|
||||
) &
|
||||
/ ( &
|
||||
( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
||||
|
||||
dgdot_dtauslip_neg(j) = DotGamma0 * dvel_slip
|
||||
endif significantNegativeTau
|
||||
enddo
|
||||
end associate
|
||||
|
||||
end subroutine kinetics
|
||||
|
||||
end module plastic_disloUCLA
|
||||
|
|
Loading…
Reference in New Issue